Extensions 1→N→G→Q→1 with N=Dic₇⋊C₄ and Q=C₄

Direct product G=N×Q with N=Dic₇⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₇⋊C₄		448		C4xDic7:C4	448,465

Semidirect products G=N:Q with N=Dic₇⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊C₄⋊₁C₄ = (C₂×C₄²).D₇	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:1C4	448,467
Dic₇⋊C₄⋊₂C₄ = C₁₄.(C₄×Q₈)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:2C4	448,181
Dic₇⋊C₄⋊₃C₄ = C₁₄.(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:3C4	448,189
Dic₇⋊C₄⋊₄C₄ = Dic₇⋊C₄²	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:4C4	448,183
Dic₇⋊C₄⋊₅C₄ = Dic₇⋊C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:5C4	448,186
Dic₇⋊C₄⋊₆C₄ = Dic₇⋊(C₄⋊C₄)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:6C4	448,506
Dic₇⋊C₄⋊₇C₄ = C₂².₂₃(Q₈×D₇)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4:7C4	448,512

Non-split extensions G=N.Q with N=Dic₇⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊C₄.₁C₄ = C₅₆⋊₁₁Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4.1C4	448,213
Dic₇⋊C₄.₂C₄ = C₄².₂₄₃D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.2C4	448,224
Dic₇⋊C₄.₃C₄ = C₅₆⋊₃₂D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.3C4	448,645
Dic₇⋊C₄.₄C₄ = C₅₆⋊Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4.4C4	448,235
Dic₇⋊C₄.₅C₄ = D₁₄⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.5C4	448,262
Dic₇⋊C₄.₆C₄ = Dic₇⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.6C4	448,263
Dic₇⋊C₄.₇C₄ = D₁₄.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.7C4	448,242
Dic₇⋊C₄.₈C₄ = C₄².₁₈₅D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.8C4	448,243
Dic₇⋊C₄.₉C₄ = C₇⋊D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.9C4	448,259
Dic₇⋊C₄.₁₀C₄ = C₇⋊C₈⋊₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.10C4	448,264
Dic₇⋊C₄.₁₁C₄ = Dic₁₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4.11C4	448,364
Dic₇⋊C₄.₁₂C₄ = C₂₈.M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4.12C4	448,365
Dic₇⋊C₄.₁₃C₄ = C₄².₂₇D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	448	Dic7:C4.13C4	448,362
Dic₇⋊C₄.₁₄C₄ = C₄².₃₀D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.14C4	448,373
Dic₇⋊C₄.₁₅C₄ = C₄².₃₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.15C4	448,374
Dic₇⋊C₄.₁₆C₄ = C₅₆⋊D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.16C4	448,661
Dic₇⋊C₄.₁₇C₄ = C₅₆⋊₁₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₇⋊C₄	224	Dic7:C4.17C4	448,662
Dic₇⋊C₄.₁₈C₄ = C₈×Dic₁₄	φ: trivial image	448	Dic7:C4.18C4	448,212
Dic₇⋊C₄.₁₉C₄ = D₁₄.C₄²	φ: trivial image	224	Dic7:C4.19C4	448,223
Dic₇⋊C₄.₂₀C₄ = C₈×C₇⋊D₄	φ: trivial image	224	Dic7:C4.20C4	448,643

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Extensions 1→N→G→Q→1 with N=Dic7⋊C4 and Q=C4

Extensions 1→N→G→Q→1 with N=Dic₇⋊C₄ and Q=C₄